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10021002101121 = 3112317579751061
BaseRepresentation
bin1001000111010011001001…
…0001010100000110000001
31022110222221212101112101110
42101310302101110012001
52303141003014213441
633151330152553533
72052664526302644
oct221646221240601
938428855345343
1010021002101121
113213979491490
12115a1793b28a9
13578c903277ab
1426903a54ba5b
15125a08b57b16
hex91d32454181

10021002101121 has 32 divisors (see below), whose sum is σ = 15210627793920. Its totient is φ = 5808938379200.

The previous prime is 10021002101111. The next prime is 10021002101141. The reversal of 10021002101121 is 12110120012001.

It is not a de Polignac number, because 10021002101121 - 26 = 10021002101057 is a prime.

It is a super-2 number, since 2×100210021011212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10021002101097 and 10021002101106.

It is not an unprimeable number, because it can be changed into a prime (10021002101111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12966931 + ... + 13717991.

It is an arithmetic number, because the mean of its divisors is an integer number (475332118560).

Almost surely, 210021002101121 is an apocalyptic number.

10021002101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021002101121 is a deficient number, since it is larger than the sum of its proper divisors (5189625692799).

10021002101121 is a wasteful number, since it uses less digits than its factorization.

10021002101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768677.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10021002101121 its reverse (12110120012001), we get a palindrome (22131122113122).

The spelling of 10021002101121 in words is "ten trillion, twenty-one billion, two million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 11 23 33 69 253 759 17579 52737 193369 404317 580107 751061 1212951 2253183 4447487 8261671 13342461 17274403 24785013 51823209 190018433 570055299 13202901319 39608703957 145231914509 303666730337 435695743527 911000191011 3340334033707 10021002101121