102011211020000 has 240 divisors, whose sum is σ = 254715124843872. Its totient is φ = 40195384320000.

The previous prime is 102011211019987. The next prime is 102011211020113. The reversal of 102011211020000 is 20112110201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1694029892 + ... + 1694090108.

Almost surely, 2^{102011211020000} is an apocalyptic number.

102011211020000 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 102011211020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127357562421936).

102011211020000 is an abundant number, since it is smaller than the sum of its proper divisors (152703913823872).

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

102011211020000 is an equidigital number, since it uses as much as digits as its factorization.

102011211020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61511 (or 61488 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102011211020000 its reverse (20112110201), we get a palindrome (102031323130201).

The spelling of 102011211020000 in words is "one hundred two trillion, eleven billion, two hundred eleven million, twenty thousand".