101000210100012 has 18 divisors (see below), whose sum is σ = 255306086641788. Its totient is φ = 33666736699992.

The previous prime is 101000210099983. The next prime is 101000210100059. The reversal of 101000210100012 is 210001012000101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-4 number, since 4×101000210100012⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101000210099967 and 101000210100003.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1402780695798 + ... + 1402780695869.

Almost surely, 2^{101000210100012} is an apocalyptic number.

101000210100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000210100012 is an abundant number, since it is smaller than the sum of its proper divisors (154305876541776).

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

101000210100012 is a wasteful number, since it uses less digits than its factorization.

101000210100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805561391677 (or 2805561391672 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101000210100012 its reverse (210001012000101), we get a palindrome (311001222100113).

The spelling of 101000210100012 in words is "one hundred one trillion, two hundred ten million, one hundred thousand, twelve".