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10100102124 = 2237120239311
BaseRepresentation
bin10010110100000001…
…10101001111101100
3222001220010100102110
421122000311033230
5131141111231444
64350120124020
7505201310610
oct113200651754
928056110373
1010100102124
114313276242
121b5a606610
13c4c6685b8
146bb57d340
153e1a82cb9
hex25a0353ec

10100102124 has 24 divisors (see below), whose sum is σ = 26933605888. Its totient is φ = 2885743440.

The previous prime is 10100102123. The next prime is 10100102147. The reversal of 10100102124 is 42120100101.

It is a happy number.

It is a super-2 number, since 2×101001021242 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10100102123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60119572 + ... + 60119739.

Almost surely, 210100102124 is an apocalyptic number.

10100102124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10100102124 is an abundant number, since it is smaller than the sum of its proper divisors (16833503764).

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

10100102124 is a wasteful number, since it uses less digits than its factorization.

10100102124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120239325 (or 120239323 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100102124 its reverse (42120100101), we get a palindrome (52220202225).

The spelling of 10100102124 in words is "ten billion, one hundred million, one hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 120239311 240478622 360717933 480957244 721435866 841675177 1442871732 1683350354 2525025531 3366700708 5050051062 10100102124