21001011010012 has 192 divisors, whose sum is σ = 44401816166400. Its totient is φ = 8585777088000.

The previous prime is 21001011010003. The next prime is 21001011010073.

21001011010012 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399391939 + ... + 399444517.

It is an arithmetic number, because the mean of its divisors is an integer number (231259459200).

Almost surely, 2^{21001011010012} is an apocalyptic number.

21001011010012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21001011010012 is an abundant number, since it is smaller than the sum of its proper divisors (23400805156388).

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

21001011010012 is a wasteful number, since it uses less digits than its factorization.

21001011010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52968 (or 52966 counting only the distinct ones).

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

It can be divided in two parts, 2100101 and 1010012, that multiplied together give a palindrome (2121127211212).

The spelling of 21001011010012 in words is "twenty-one trillion, one billion, eleven million, ten thousand, twelve".