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1001121210100 = 225211910110191
BaseRepresentation
bin11101001000101110111…
…10010101111011110100
310112201001212011210121001
432210113132111323310
5112400244012210400
62043524141533044
7132220500611104
oct16442736257364
93481055153531
101001121210100
11356633907710
12142035574184
137353666467b
1436651307204
151b094ddba6a
hexe917795ef4

1001121210100 has 36 divisors (see below), whose sum is σ = 2369926939968. Its totient is φ = 364044076000.

The previous prime is 1001121210079. The next prime is 1001121210107. The reversal of 1001121210100 is 10121211001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001121210107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455053996 + ... + 455056195.

It is an arithmetic number, because the mean of its divisors is an integer number (65831303888).

Almost surely, 21001121210100 is an apocalyptic number.

1001121210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001121210100 is an abundant number, since it is smaller than the sum of its proper divisors (1368805729868).

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

1001121210100 is a wasteful number, since it uses less digits than its factorization.

1001121210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910110216 (or 910110209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001121210100 its reverse (10121211001), we get a palindrome (1011242421101).

Subtracting from 1001121210100 its reverse (10121211001), we obtain a palindrome (990999999099).

The spelling of 1001121210100 in words is "one trillion, one billion, one hundred twenty-one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 910110191 1820220382 3640440764 4550550955 9101101910 10011212101 18202203820 20022424202 22752754775 40044848404 45505509550 50056060505 91011019100 100112121010 200224242020 250280302525 500560605050 1001121210100