102102211000 has 64 divisors (see below), whose sum is σ = 240157550880. Its totient is φ = 40629196800.

The previous prime is 102102210941. The next prime is 102102211019. The reversal of 102102211000 is 112201201.

102102211000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102102211000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71514 + ... + 457513.

Almost surely, 2^102102211000 is an apocalyptic number.

102102211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102211000 is an abundant number, since it is smaller than the sum of its proper divisors (138055339880).

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

102102211000 is a wasteful number, since it uses less digits than its factorization.

102102211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529241 (or 529227 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102102211000 its reverse (112201201), we get a palindrome (102214412201).

The spelling of 102102211000 in words is "one hundred two billion, one hundred two million, two hundred eleven thousand".