102101011012010 has 16 divisors (see below), whose sum is σ = 183904915508136. Its totient is φ = 40813049807808.

The previous prime is 102101011011973. The next prime is 102101011012057. The reversal of 102101011012010 is 10210110101201.

It can be written as a sum of positive squares in 4 ways, for example, as 87490338055129 + 14610672956881 = 9353627^2 + 3822391^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102101011011982 and 102101011012000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3419308949 + ... + 3419338808.

Almost surely, 2^{102101011012010} is an apocalyptic number.

102101011012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102101011012010 is a deficient number, since it is larger than the sum of its proper divisors (81803904496126).

102101011012010 is a wasteful number, since it uses less digits than its factorization.

102101011012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838649257.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102101011012010 its reverse (10210110101201), we get a palindrome (112311121113211).

The spelling of 102101011012010 in words is "one hundred two trillion, one hundred one billion, eleven million, twelve thousand, ten".