10201211021120 has 112 divisors (see below), whose sum is σ = 28719173082240. Its totient is φ = 3376952592384.

The previous prime is 10201211021117. The next prime is 10201211021159. The reversal of 10201211021120 is 2112011210201.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 10201211021095 and 10201211021104.

It is a congruent number.

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, 78454214 + ... + 78584133.

Almost surely, 2^{10201211021120} is an apocalyptic number.

10201211021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201211021120 is an abundant number, since it is smaller than the sum of its proper divisors (18517962061120).

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

10201211021120 is a wasteful number, since it uses less digits than its factorization.

10201211021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157038400 (or 157038390 counting only the distinct ones).

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

Adding to 10201211021120 its reverse (2112011210201), we get a palindrome (12313222231321).

The spelling of 10201211021120 in words is "ten trillion, two hundred one billion, two hundred eleven million, twenty-one thousand, one hundred twenty".