101102210202000 has 1280 divisors, whose sum is σ = 399386586193920. Its totient is φ = 21488882688000.

The previous prime is 101102210201959. The next prime is 101102210202011. The reversal of 101102210202000 is 202012201101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26626864102 + ... + 26626867898.

It is an arithmetic number, because the mean of its divisors is an integer number (312020770464).

Almost surely, 2^{101102210202000} is an apocalyptic number.

101102210202000 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 101102210202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199693293096960).

101102210202000 is an abundant number, since it is smaller than the sum of its proper divisors (298284375991920).

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

101102210202000 is a wasteful number, since it uses less digits than its factorization.

101102210202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101102210202000 its reverse (202012201101), we get a palindrome (101304222403101).

The spelling of 101102210202000 in words is "one hundred one trillion, one hundred two billion, two hundred ten million, two hundred two thousand".