102100202111110 has 256 divisors, whose sum is σ = 231924100497408. Its totient is φ = 31557253478400.

The previous prime is 102100202111101. The next prime is 102100202111119. The reversal of 102100202111110 is 11111202001201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102100202111101) and next prime (102100202111119).

It is a super-2 number, since 2×102100202111110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100202111119) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1850854389 + ... + 1850909551.

It is an arithmetic number, because the mean of its divisors is an integer number (905953517568).

Almost surely, 2^{102100202111110} is an apocalyptic number.

102100202111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100202111110 is an abundant number, since it is smaller than the sum of its proper divisors (129823898386298).

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

102100202111110 is a wasteful number, since it uses less digits than its factorization.

102100202111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55739.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102100202111110 its reverse (11111202001201), we get a palindrome (113211404112311).

The spelling of 102100202111110 in words is "one hundred two trillion, one hundred billion, two hundred two million, one hundred eleven thousand, one hundred ten".