10201021012112 has 60 divisors (see below), whose sum is σ = 24343763110380. Its totient is φ = 4114697545728.

The previous prime is 10201021012087. The next prime is 10201021012121. The reversal of 10201021012112 is 21121012010201.

It can be written as a sum of positive squares in 2 ways, for example, as 9322909582336 + 878111429776 = 3053344^2 + 937076^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382678037 + ... + 382704692.

It is an arithmetic number, because the mean of its divisors is an integer number (405729385173).

Almost surely, 2^{10201021012112} is an apocalyptic number.

It is an amenable number.

10201021012112 is an abundant number, since it is smaller than the sum of its proper divisors (14142742098268).

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

10201021012112 is a wasteful number, since it uses less digits than its factorization.

10201021012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765382768 (or 765382755 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10201021012112 its reverse (21121012010201), we get a palindrome (31322033022313).

The spelling of 10201021012112 in words is "ten trillion, two hundred one billion, twenty-one million, twelve thousand, one hundred twelve".