10102001211120 has 640 divisors, whose sum is σ = 41913293377536. Its totient is φ = 1951814320128.

The previous prime is 10102001211067. The next prime is 10102001211131. The reversal of 10102001211120 is 2111210020101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10102001211096 and 10102001211105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13369677 + ... + 14105043.

Almost surely, 2^{10102001211120} is an apocalyptic number.

10102001211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102001211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956646688768).

10102001211120 is an abundant number, since it is smaller than the sum of its proper divisors (31811292166416).

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

10102001211120 is a wasteful number, since it uses less digits than its factorization.

10102001211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735457 (or 735451 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102001211120 its reverse (2111210020101), we get a palindrome (12213211231221).

The spelling of 10102001211120 in words is "ten trillion, one hundred two billion, one million, two hundred eleven thousand, one hundred twenty".