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10012101121220 = 22511401113490151
BaseRepresentation
bin1001000110110001111110…
…1110110001010011000100
31022110010222112121220102012
42101230133232301103010
52303014240341334340
633143255030033352
72052231125233142
oct221543756612304
938403875556365
1010012101121220
113210121082550
1211584b44a8858
135781a2236c93
14268834350592
151256874da565
hex91b1fbb14c4

10012101121220 has 48 divisors (see below), whose sum is σ = 22994012716416. Its totient is φ = 3631684800000.

The previous prime is 10012101121219. The next prime is 10012101121247. The reversal of 10012101121220 is 2212110121001.

10012101121220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100121011212202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10012101121195 and 10012101121204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56656856 + ... + 56833295.

It is an arithmetic number, because the mean of its divisors is an integer number (479041931592).

Almost surely, 210012101121220 is an apocalyptic number.

10012101121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012101121220 is an abundant number, since it is smaller than the sum of its proper divisors (12981911595196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10012101121220 is a wasteful number, since it uses less digits than its factorization.

10012101121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113490572 (or 113490570 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10012101121220 its reverse (2212110121001), we get a palindrome (12224211242221).

The spelling of 10012101121220 in words is "ten trillion, twelve billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 401 802 1604 2005 4010 4411 8020 8822 17644 22055 44110 88220 113490151 226980302 453960604 567450755 1134901510 1248391661 2269803020 2496783322 4993566644 6241958305 12483916610 24967833220 45509550551 91019101102 182038202204 227547752755 455095505510 500605056061 910191011020 1001210112122 2002420224244 2503025280305 5006050560610 10012101121220