102021211110000 has 2400 divisors, whose sum is σ = 430565597704704. Its totient is φ = 20248704000000.

The previous prime is 102021211109959. The next prime is 102021211110041. The reversal of 102021211110000 is 11112120201.

It is an interprime number because it is at equal distance from previous prime (102021211109959) and next prime (102021211110041).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 97070609475 + ... + 97070610525.

Almost surely, 2^{102021211110000} is an apocalyptic number.

102021211110000 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 102021211110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215282798852352).

102021211110000 is an abundant number, since it is smaller than the sum of its proper divisors (328544386594704).

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

102021211110000 is a wasteful number, since it uses less digits than its factorization.

102021211110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102021211110000 its reverse (11112120201), we get a palindrome (102032323230201).

The spelling of 102021211110000 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred ten thousand".