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100121111100012 = 22337439915126003
BaseRepresentation
bin10110110000111101000011…
…010000101111101001101100
3111010111111002101012212110110
4112300331003100233221230
5101110341013420200022
6552535000425540020
730042340316411262
oct2660750320575154
9433444071185413
10100121111100012
11299a1141078172
12b290185644610
1343b34c3599432
141aa1c5d946432
15b895a70a000c
hex5b0f4342fa6c

100121111100012 has 48 divisors (see below), whose sum is σ = 239935370717952. Its totient is φ = 32470967229120.

The previous prime is 100121111100007. The next prime is 100121111100029. The reversal of 100121111100012 is 210001111121001.

It is a super-2 number, since 2×1001211111000122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 16969003 + ... + 22095005.

It is an arithmetic number, because the mean of its divisors is an integer number (4998653556624).

Almost surely, 2100121111100012 is an apocalyptic number.

100121111100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100121111100012 is an abundant number, since it is smaller than the sum of its proper divisors (139814259617940).

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

100121111100012 is a wasteful number, since it uses less digits than its factorization.

100121111100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170038 (or 5170036 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100121111100012 its reverse (210001111121001), we get a palindrome (310122222221013).

The spelling of 100121111100012 in words is "one hundred trillion, one hundred twenty-one billion, one hundred eleven million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 43991 87982 131973 175964 263946 527892 1627667 3255334 4883001 5126003 6510668 9766002 10252006 15378009 19532004 20504012 30756018 61512036 189662111 379324222 568986333 758648444 1137972666 2275945332 225497997973 450995995946 676493993919 901991991892 1352987987838 2705975975676 8343425925001 16686851850002 25030277775003 33373703700004 50060555550006 100121111100012