10122101000 has 128 divisors (see below), whose sum is σ = 25918738560. Its totient is φ = 3669408000.

The previous prime is 10122100969. The next prime is 10122101039. The reversal of 10122101000 is 10122101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4101767 + ... + 4104233.

It is an arithmetic number, because the mean of its divisors is an integer number (202490145).

Almost surely, 2^10122101000 is an apocalyptic number.

10122101000 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 10122101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12959369280).

10122101000 is an abundant number, since it is smaller than the sum of its proper divisors (15796637560).

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

10122101000 is a wasteful number, since it uses less digits than its factorization.

10122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10122101000 its reverse (10122101), we get a palindrome (10132223101).

10122101000 divided by its reverse (10122101) gives a cube (1000 = 10³).

It can be divided in two parts, 1012 and 2101000, that added together give a palindrome (2102012).

The spelling of 10122101000 in words is "ten billion, one hundred twenty-two million, one hundred one thousand".