10122111010000 has 300 divisors, whose sum is σ = 27806094101632. Its totient is φ = 3562020000000.

The previous prime is 10122111009961. The next prime is 10122111010007. The reversal of 10122111010000 is 1011122101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122111010007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37375075 + ... + 37644925.

Almost surely, 2^{10122111010000} is an apocalyptic number.

10122111010000 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 10122111010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13903047050816).

10122111010000 is an abundant number, since it is smaller than the sum of its proper divisors (17683983091632).

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

10122111010000 is a wasteful number, since it uses less digits than its factorization.

10122111010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269932 (or 269900 counting only the distinct ones).

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

Adding to 10122111010000 its reverse (1011122101), we get a palindrome (10123122132101).

The spelling of 10122111010000 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, ten thousand".