101202101000 has 864 divisors, whose sum is σ = 331126253640. Its totient is φ = 28828800000.

The previous prime is 101202100997. The next prime is 101202101017. The reversal of 101202101000 is 101202101.

It can be written as a sum of positive squares in 12 ways, for example, as 9442786276 + 91759314724 = 97174^2 + 302918^2 .

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 215 ways as a sum of consecutive naturals, for example, 1002000950 + ... + 1002001050.

Almost surely, 2^101202101000 is an apocalyptic number.

101202101000 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 101202101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165563126820).

101202101000 is an abundant number, since it is smaller than the sum of its proper divisors (229924152640).

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

101202101000 is a wasteful number, since it uses less digits than its factorization.

101202101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 139 counting only the distinct ones).

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

Adding to 101202101000 its reverse (101202101), we get a palindrome (101303303101).

101202101000 divided by its reverse (101202101) gives a cube (1000 = 10³).

It can be divided in two parts, 101202 and 101000, that added together give a palindrome (202202).

The spelling of 101202101000 in words is "one hundred one billion, two hundred two million, one hundred one thousand".